338345313 has 8 divisors (see below), whose sum is σ = 451213728. Its totient is φ = 225520224.

The previous prime is 338345309. The next prime is 338345323. The reversal of 338345313 is 313543833.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 338345313 - 2² = 338345309 is a prime.

It is a super-2 number, since 2×338345313² = 228955101658135938, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338345303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19645 + ... + 32597.

It is an arithmetic number, because the mean of its divisors is an integer number (56401716).

Almost surely, 2^338345313 is an apocalyptic number.

It is an amenable number.

338345313 is a deficient number, since it is larger than the sum of its proper divisors (112868415).

338345313 is a wasteful number, since it uses less digits than its factorization.

338345313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21663.

The product of its digits is 38880, while the sum is 33.

The square root of 338345313 is about 18394.1651889940. The cubic root of 338345313 is about 696.8191138141.

The spelling of 338345313 in words is "three hundred thirty-eight million, three hundred forty-five thousand, three hundred thirteen".